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Rayleigh–Sommerfeld diffraction formula in k space

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Abstract

An angular spectrum representation in three dimensions is used to develop three-dimensional Fourier forms of the first and second Rayleigh–Sommerfeld diffraction formulae and the Kirchhoff diffraction formula. For forward-propagating waves, these reduce to three-dimensional Fourier representations for diffraction in the forward half-space.

© 2013 Optical Society of America

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